Waec Mathematics 2009 Past Questions and Answers

Question 46:

• WAEC 2009

From the diagram which of the following statements are correct? i. XQ is a radius of a circle centre Q. ii. /XQ/ = /QY/. iii. /QX/ = /XY/

A. I only
B. Inand ii only
C. Ii and iii only
D. I, ii and iii

Question 47:

• WAEC 2009

Find the value of x in the diagram

A. 50^o
B. 60^o
C. 70^o
D. 80^o

Question 48:

• WAEC 2009

(a) Given that \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = a + b\sqrt{6}\), find a and b.
(b) If \(\frac{2^{1 - y} \times 2^{y - 1}}{2^{y + 2}} = 8^{2 - 3y}\), find y.

Question 49:

• WAEC 2009

(a) If \(9 \cos x - 7 = 1\) and \(0° \leq x \leq 90°\), find x.
(b) Given that x is an integer, find the three greatest values of x which satisfy the inequality \(7x < 2x - 13\).

Question 50:

• WAEC 2009

The table shows the number of children per family in a community.

No of children	0	1	2	3	4	5
No of families	3	5	7	4	3	2

(a) Find the : (i) mode ; (ii) third quartile ; (iii) probability that a family has at least 2 children.
(b) If a pie chart were to be drawn for the data, what would be the sectorial angle representing families with one child?